A vector optical vortex generated and focused using a metalens
Kotlyar V.V., Nalimov A.G.


Image Processing Systems Institute of RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia,
Samara National Research University, Samara, Russia

Full text of article: Russian language.

Using a FDTD-aided numerical simulation we show that a sharp focal spot can be generated by a spiral metalens made of amorphous silicon, with unit topological charge and unit numerical aperture (NA = 1). The focal spot intensity is nearly round-shaped when using an incident TE-wave, and in the form of a doughnut for an incident TM-wave. We are the first to show theoretically and experimentally that the focal intensity pattern has local regions - located symmetrically or asymmetrically both at the center and on the periphery - where the energy flux is inversely directed. The discovered effect can be used for moving a microparticle in the opposite direction to the light propagation.

zone plate, diffraction grating, optical vortex, metalens.

Kotlyar VV, Nalimov AG. A vector optical vortex generated and focused using a metalens. Computer ptics 2017; 41(5): 645-654. DOI: 10.18287/2412-6179-2017-41-5-645-654.


  1. Litchinitser NM. Structured light meets structured matter. Science 2012; 337(6098): 1054-1055. DOI: 10.1126/science.1226204.
  2. Kildishev AV, Boltasseva A, Shalaev VM. Planar photonics with metasurfaces. Science 2013; 339(6125): 1232009. DOI: 10.1126/science.1232009.
  3. Zhao Z, Wang J, Li S, Willner AE. Metamaterials-based broadband generation of orbital angular momentum carrying vector beams. Opt Lett 2013; 38(6): 932-934. DOI: 10.1364/OL.38.000932.
  4. Yi X, Lin X, Zhang Z, Li Y, Zhou X, Liu Y, Chen S, Luo H, Wen S. Generation of cylindrical vector vortex beams by two cascaded metasurfaces. Opt Express 2014; 22(14): 17207-17215. DOI: 10.1364/OE.22.017207.
  5. Zhao Z, Pu M, Gao H, Jin J, Li X, Ma X, Wang Y, Gao P, Luo X. Multispectral optical metasurfaces enabled by achromatic phase transition. Sci Rep 2015; 5: 15781. DOI: 10.1038/srep15781.
  6. Sun J, Wang X, Xu T, Kudyshev ZA, Cartwright AN, Litchinitser NM. Spinning light on the nanoscale. Nano Lett 2014; 14(5): 2726-2729. DOI: 10.1021/nl500658n.
  7. Karimi E, Schulz SA, Leon ID, Qassim H, Upham J, Boyd RW. Generating optical orbital angular momentum at visible wavelengths using a plasmonic metasurface. Light Sci Appl 2014; 3: e167. DOI: 10.1038/lsa.2014.48.
  8. Wang W, Li Y, Guo Z, Li R, Zhang J, Zhang A, Qu S. Ultra-thin optical vortex phase plate based on the metasurface and the angular momentum transformation. J Opt 2015; 17(4): 045102. DOI: 10.1088/2040-8978/17/4/045102.
  9. Chong KE, Staube I, James A, Dominguez J, Liu S, Campione S,  Subramania GS, Luk TS, Decker M, Neshev DN, Brener I, Kivshar YS. Polarization-independent silicon metadevices for efficient optical wavefront control. Nano Lett 2015; 15(8): 5369-5374. DOI: 10.1021/acs.nanolett.5b01752.
  10. Chen H, Taylor AJ, Yu N. A review of metasurfaces; physics and applications. Rep Prog Phys 2016; 79(7): 076401. DOI: 10.1088/0034-4885/79/7/076401.
  11. Decker M, Staube I, Falkner M, Dominguez J, Neshev DN, Brener I, Pertsch T, Kivshar YS. High-efficiency dielectric Huygens' surfaces. Adv Opt Mater 2015; 3(6): 813-820. DOI: 10.1002/adom.201400584.
  12. Jin J, Luo J, Zhang X, Gao H, Li X, Pu M, Gao P, Zhao Z, Luo X. Generating and detection of orbital angular momentum via metasurface. Sci Rep 2016; 6: 24286. DOI: 10.1038/srep24286.
  13. Yue F, Wen D, Xin J, Gerardot BD, Li J, Chen X. Vector vortex beam generation with a single plasmonic metasurface. ACS Photonics 2016; 3(9): 1558-1563. DOI: 10.1021/acsphotonics.6b00392.
  14. Mei S, Mehmood MQ, Hussain S, Huang K, Ling X, Siew SY, Liu H, Teng J, Danner A, Qiu C. Flat helical nanosieves. Adv Funct Mater 2016; 26(29): 5225-5262. DOI: 10.1002/adfm.201601345.
  15. Kruk S, Hopkins B, Kravchenko II, Miroshnichenko A, Neshev DN, Kivshar YS. Brodband highly efficient dielectric metadevices for polarization control. APL Photonics 2016; 1: 030801. DOI: 10.1063/1.4949007.
  16. Wang L, Kruk S, Tank H, Li T, Kravchenko I, Neshev DN, Kivshar YS. Grayscale transparent metasurface holograms. Optica 2016; 3(12): 1504-1505. DOI: 10.1364/OPTICA.3.001504.
  17. Genevet P, Capasso F, Avieta F, Khorasaninejad M, Devlin R. Recent advances in planar optics: from plasmonic to dielectric metasurfaces. Optica 2017; 4(1): 139-152. DOI: 10.1364/OPTICA.4.000139.
  18. Huang L, Song X, Reineke B, Li T, Li X, Liu J, Zhang S, Wang Y, Zentgraf T. Volumetric generation of optical vortices with metasurfaces. ACS Photonics 2017; 4(2): 338-346. DOI: 10.1021/acsphotonics.6b00808.
  19. Liu Y, Ke Y, Zhou J, Liu Y, Luo H, Wen S, Fan D. Generation of perfect vortex and vector beams based on Pancharatnam-Berry phase elements. Sci Rep 2017; 7: 44096. DOI: 10.1038/srep44096.
  20. Ting W, Zhu AY, Khorasaninejad M, Shi Z, Sanjeev V, Capasso F. Immersion meta-lenses at visible wavelengths for nanoscale imaging. Nano Lett 2017; 17(5): 3188-3194. DOI: 10.1021/acs.nanolett.7b00717.
  21. Kotlyar VV, Nalimov AG, Stafeev SS, Hu C, O'Faolain L, Kotlyar MV, Gibson D, Song S. Thin high numerical aperture metalens. Opt Express 2017; 25(7): 8158-8167. DOI: 10.1364/OE.25.008158.
  22. Heckenberg NR, McDuff R, Smith CP, White AG. Gene­ration of optical singularities by computer-generated holograms. Opt Lett 1992; 17(3): 221-223. DOI: 10.1364/OL.17.000221.
  23. Lalanne P, Lemercier-Lalanne D. On the effective medium theory of subwavelength periodic structures. Journal of Modern Optics 1996; 43(10): 2063-2085. DOI: 10.1080/09500349608232871
  24. Novitsky AV, Novitsky DV. Negative propagation of vector Bessel beams. J Opt Soc Am A 2007; 24(9): 2844-2849. DOI: 10.1364/JOSAA.24.002844.
  25. Sukhov S, Dogariu A. On the concept of “tractor beams”. Optics Letters 2010; 35(22): 3847-3849. DOI: 10.1364/OL.35.003847.
  26. Kotlyar VV, Stafeev SS, Liu Y, O’Faolain L, Kovalev AA. Analysis of the shape of a subwavelength focal spot for the linear polarized light. Appl Opt 2013; 52(3): 330-339. DOI: 10.1364/AO.52.000330.
  27. Monteiro PB, Neto PAM, Nussenzveig HM. Angular momentum of focused beams: Beyond the paraxial approximation. Phys Rev A 2009; 79: 0330830. DOI: 10.1103/PhysRevA.79.033830.

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